Solve for x 6/2=4/x

$\frac{6}{2} = \frac{4}{x}$

Step 1

Rewrite the equation as $\frac{4}{x} = \frac{6}{2}$ .

$\frac{4}{x} = \frac{6}{2}$

Step 2

Divide $6$ by $2$ .

$\frac{4}{x} = 3$

Step 3

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$x, 1$

The LCM of one and any expression is the expression.

$x$

Step 4

Multiply each term in $\frac{4}{x} = 3$ by $x$ to eliminate the fractions.

Multiply each term in $\frac{4}{x} = 3$ by $x$ .

$\frac{4}{x} x = 3 x$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{4}{x} x = 3 x$

Rewrite the expression.

$4 = 3 x$

Step 5

Solve the equation.

Rewrite the equation as $3 x = 4$ .

$3 x = 4$

Divide each term in $3 x = 4$ by $3$ and simplify.

Divide each term in $3 x = 4$ by $3$ .

$\frac{3 x}{3} = \frac{4}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{4}{3}$

Divide $x$ by $1$ .

$x = \frac{4}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{4}{3}$

Decimal Form:

$x = 1.\overline{3}$

Mixed Number Form:

$x = 1 \frac{1}{3}$